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Numerical study of two-dimensional thermovibrational convection in rectangular cavities

Khallouf, Hicham and Gershuni, Grigori Z. and Mojtabi, Abdelkader Numerical study of two-dimensional thermovibrational convection in rectangular cavities. (1995) Numerical Heat Transfer, Part A: Applications, 27 (3). 297-305. ISSN 1040-7782

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Official URL: https://doi.org/10.1080/10407789508913701

Abstract

Two-dimensional thermovibrational convection in rectangular cavities under the condition of weightlessness is studied. The problem is based on the system of equations of the mean fields of velocity, pressure, and temperature. A pseudospeetral Chebyshev collocation method is used. The case of rectangular cavities (a layer of finite length) is considered subject to high-frequency transversal vibrations and a longitudinal temperature gradient. In the case of a square cavity the instability of the main flow exists, and the bifurcation to other symmetry takes place. The same behavior is observed when the cavity is elongated in the direction of the temperature gradient. It is shown that the intensity of the thermovibrational convective flow decreases, in general, while the aspect ratio increases in accordance with linear stability theory, in which it was proven that, in the limiting case of an infinitely long layer subject to a longitudinal temperature gradient and a transversal axis of vibrations, the absolute stability of the quasi-equilibrium state lakes place.

Item Type:Article
HAL Id:hal-01946086
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Perm state university (RUSSIA)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:07 Nov 2018 17:53

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